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A metric graph model is suggested for the Stokes flow concentrated in a neighborhood of a network. Conditions of '-type are assumed at the graph vertices. Sign preserving solutions are studied. The analogue of the Harnack's inequality is proved.
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Maria O. Kovaleva, Igor Yu. Popov, Harnack's Inequality for Stokes Graph. Z. Anal. Anwend. 35 (2016), no. 4, pp. 383–396